3.
June has 248 oranges. She sells of these oranges. How many oranges did June sell?
Answer.​

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

[tex]SA=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height of the cuboid.

Putting [tex]SA=204.25,  l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get

[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]

[tex]204.25=2(10x+6.5x+65)[/tex]

[tex]204.25=2(16.5x+65)[/tex]

Using distributive property, we get

[tex]204.25=2(16.5x)+2(65)[/tex]

[tex]204.25=33x+130[/tex]

[tex]204.25-130=33x[/tex]

[tex]74.25=33x[/tex]

Divide both sides by 33.

[tex]\dfrac{74.25}{33}=x[/tex]

[tex]2.25=x[/tex]

Therefore, the correct option is B.

Answer:

0.5

Step-by-step explanation:

Given data

[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Answer:

3 :2.

Step-by-step explanation:

1.5 : 1

Multiply both numbers by 2:

i this gives 3:2

Answer:

6 days

Step-by-step explanation:

1 L = 1000 mL

3 days = 1500 mL = 1.5 L

9 L divided by 1.5 L = 6 days

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

Learn more about the ratio visit:

https://brainly.com/question/12024093

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Answer:

2.50 + 1.25= 3.75

15.00 - 3.75= 11.25

Step-by-step explanation:

Answer:

the side length of the hot tub = 4.8ft

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Square A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

i hope this helps you

The length of the one side of the hot tub is 4.8 ft.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.

If the each side of the pool is 24 ft.

The length of one side of hot tub = 24/5 = 4.8 ft.

Thus, the length of the one side of the hot tub is 4.8 ft.

Learn more about Scale Factor from:

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Answer:

165 square ft

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

Plug in the values and find the volume in terms of π

Volume of the cone = ⅓*π*5²*36

Volume of the cone = 300π units³

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

9514 1404 393

Answer:

  A.  -1

Step-by-step explanation:

The table shows that g(x) = 0 for x = -1.  (third row)

The other solution is x = -1.

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

Answer: 22

Step-by-step explanation:

simple

Let the numbers be n, n+2, n+4

Sum equals too= 13+2(n+4), which is 2n+21

a) Equation--> n+n+2+n+4= 2n+21

b) Solution--> 3n+6= 2n+21

                      => n= 15

c) Second number--> 17 (15+2)

   Third number--> 19 (15+4)

d) 15+15+2+15+4=30+21

   => 51= 51

So, the equation is true.

And pls mark me brainliesttt :)))

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

Hope this helps! Let me know if you have any doubts.

Answer:

Step-by-step explanation:

Formula:

Given:

The circumference:

Hope this help!!!

Have a nice day!!!